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Finding the Fourth Proportional to 170,106.45, 255,114.09 and 51,746.01

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Solution

The fourth proportional to 170,106.45, 255,114.09 and 51,746.01 is: 77,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,106.45 : 255,114.09 = 51,746.01 : x
  2. Step 2: Convert to fraction form
    170,106.45/255,114.09 = 51,746.01/x
  3. Step 3: Cross multiply
    170,106.45x = 255,114.09 × 51,746.01
  4. Step 4: Simplify right side
    170,106.45x = 13,201,136,252.28
  5. Step 5: Solve for x
    x = 13,201,136,252.28/170,106.45
  6. Step 6: Final answer
    x = 77,605.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.